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Finding the Fourth Proportional to 75,812.34, 113,626.28 and 53,632.12

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Solution

The fourth proportional to 75,812.34, 113,626.28 and 53,632.12 is: 80,382.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    75,812.34 : 113,626.28 = 53,632.12 : x
  2. Step 2: Convert to fraction form
    75,812.34/113,626.28 = 53,632.12/x
  3. Step 3: Cross multiply
    75,812.34x = 113,626.28 × 53,632.12
  4. Step 4: Simplify right side
    75,812.34x = 6,094,018,284.11
  5. Step 5: Solve for x
    x = 6,094,018,284.11/75,812.34
  6. Step 6: Final answer
    x = 80,382.93

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.